On the validity of the batch quantile method for Markov chains
✍ Scribed by David F. Muñoz
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 338 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0167-6377
No coin nor oath required. For personal study only.
✦ Synopsis
We discuss the asymptotic validity of confidence intervals for quantiles of performance variables when simulating a Markov chain. We show that a batch quantile methodology (similar to the batch means method) can be applied to obtain confidence intervals that are asymptotically valid under mild assumptions.
📜 SIMILAR VOLUMES
The convergence of additive and multiplicative Schwarz methods for computing certain characteristics of Markov chains such as stationary probability vectors and mean first passage matrices is studied. The main result is a convergence theorem for multiplicative Schwarz iterations when applied to sing